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arXiv · 1709.08132

A map for heavy inertial particles in fluid flows

Rafael Dias Vilela·Vitor M. de Oliveira
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Abstract

We introduce a map which reproduces qualitatively many fundamental properties of the dynamics of heavy particles in fluid flows. These include a uniform rate of decrease of volume in phase space, a slow-manifold effective dynamics when the single parameter $s$ (analogous of the Stokes number) approaches zero, the possibility of fold caustics in the "velocity field", and a minimum, as a function of $s$, of the Lyapunov (Kaplan-Yorke) dimension of the attractor where particles accumulate.

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Rafael Dias Vilela, Vitor M. de Oliveira. 2017-09-24. A map for heavy inertial particles in fluid flows. https://doi.org/10.1140/epjst%2Fe2017-70035-3

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